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Finding the Fourth Proportional to 649,703.39, 974,694.16 and 194,330.34

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Solution

The fourth proportional to 649,703.39, 974,694.16 and 194,330.34 is: 291,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,703.39 : 974,694.16 = 194,330.34 : x
  2. Step 2: Convert to fraction form
    649,703.39/974,694.16 = 194,330.34/x
  3. Step 3: Cross multiply
    649,703.39x = 974,694.16 × 194,330.34
  4. Step 4: Simplify right side
    649,703.39x = 189,412,651,406.83
  5. Step 5: Solve for x
    x = 189,412,651,406.83/649,703.39
  6. Step 6: Final answer
    x = 291,537.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.